Simple Probability

Front

What is probability?

Back

Probability is a measure of how likely an event is to occur, expressed as a number between 0 and 1, where 0 means the event will not happen and 1 means it will definitely happen.

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What is a simple event in probability?

Back

A simple event is an event that consists of a single outcome. For example, rolling a 3 on a six-sided die is a simple event.

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What is the formula for calculating probability?

Back

The probability of an event is calculated using the formula: P(E) = Number of favorable outcomes / Total number of possible outcomes.

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What is the difference between theoretical probability and experimental probability?

Back

Theoretical probability is based on the possible outcomes in a perfect world, while experimental probability is based on the actual results of an experiment.

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What is a sample space?

Back

A sample space is the set of all possible outcomes of a probability experiment. For example, the sample space for flipping a coin is {Heads, Tails}.

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What is a favorable outcome?

Back

A favorable outcome is an outcome that satisfies the conditions of the event we are interested in. For example, if we want to know the probability of rolling an even number on a die, the favorable outcomes are 2, 4, and 6.

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What does it mean if an event is certain?

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An event is certain if it has a probability of 1, meaning it will definitely occur.

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What does it mean if an event is impossible?

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An event is impossible if it has a probability of 0, meaning it cannot occur.

Front

What is the probability of rolling a 4 on a six-sided die?

Back

The probability of rolling a 4 is 1/6, since there is one favorable outcome (rolling a 4) and six possible outcomes (1, 2, 3, 4, 5, 6).

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What is the probability of drawing a red card from a standard deck of cards?

Back

The probability of drawing a red card (hearts or diamonds) from a standard deck of 52 cards is 26/52 or 1/2.